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Finding the Third Proportional to 46,072 and 96,786

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Solution

The third proportional to 46,072 and 96,786 is: 203,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072 : 96,786 = 96,786 : x
  2. Step 2: Convert to fraction form
    46,072/96,786 = 96,786/x
  3. Step 3: Cross multiply
    46,072x = 96,786 × 96,786
  4. Step 4: Simplify right side
    46,072x = 9,367,529,796
  5. Step 5: Solve for x
    x = 9,367,529,796/46,072
  6. Step 6: Final answer
    x = 203,323.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.